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Finding the Fourth Proportional to 3,641.44, 5,025 and 2,150.22

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Solution

The fourth proportional to 3,641.44, 5,025 and 2,150.22 is: 2,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.44 : 5,025 = 2,150.22 : x
  2. Step 2: Convert to fraction form
    3,641.44/5,025 = 2,150.22/x
  3. Step 3: Cross multiply
    3,641.44x = 5,025 × 2,150.22
  4. Step 4: Simplify right side
    3,641.44x = 10,804,855.50
  5. Step 5: Solve for x
    x = 10,804,855.50/3,641.44
  6. Step 6: Final answer
    x = 2,967.19

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.